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Simplifying 8(x + -7) = 9(x + 10) Reorder the terms: 8(-7 + x) = 9(x + 10) (-7 * 8 + x * 8) = 9(x + 10) (-56 + 8x) = 9(x + 10) Reorder the terms: -56 + 8x = 9(10 + x) -56 + 8x = (10 * 9 + x * 9) -56 + 8x = (90 + 9x) Solving -56 + 8x = 90 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -56 + 8x + -9x = 90 + 9x + -9x Combine like terms: 8x + -9x = -1x -56 + -1x = 90 + 9x + -9x Combine like terms: 9x + -9x = 0 -56 + -1x = 90 + 0 -56 + -1x = 90 Add '56' to each side of the equation. -56 + 56 + -1x = 90 + 56 Combine like terms: -56 + 56 = 0 0 + -1x = 90 + 56 -1x = 90 + 56 Combine like terms: 90 + 56 = 146 -1x = 146 Divide each side by '-1'. x = -146 Simplifying x = -146
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